phy2061 enriched physics 2 lecture notes gauss and stokes theorem vector calculus theorems disclaimer these lecture notes are not meant to replace the course textbook the content may be incomplete ...
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...Phy enriched physics lecture notes gauss and stokes theorem vector calculus theorems disclaimer these are not meant to replace the course textbook content may be incomplete some topics unclear only a study aid supplement your own please report any inaccuracies professor divergence consider surface s with volume v if we divide it in half into two volumes areas can write ea dd d vv sss since electric flux through boundary between is equal opposite out of goes now let continue this process dividing original great number infinitesimal each cubic shape i ss one small corner cube at position x yz length side face perpendicular coordinate axes acosta page y z e interested computing passing top bottom faces will depend on ey for other do taylor expansion field about find component center xy ee xz yy similarly have yyy so net ze negative sign arises because points chosen thus ex zy...